Question

these figures are congruent. what is ( mangle i )?

Explanation:

Step1: Recall congruent figures property

Congruent figures have corresponding angles equal. So we need to find the corresponding angle to $\angle I$ in the second quadrilateral.

Step2: Identify corresponding angle

Looking at the side lengths and angles, the angle corresponding to $\angle I$ should be $\angle R$ (since the sides and other angles match up in congruent figures). The measure of $\angle R$ is $71^\circ$. So $m\angle I = 71^\circ$.

Answer:

$71$